Search Results

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  31843 2797 Pages:1133-1176

• An Algorithm for the Stochastic Simulation of Gene Expression and Heterogeneous Population Dynamics

  Daniel A. Charlebois, Jukka Intosalmi, Dawn Fraser & Mads Kærn

  2011-09-01

  38480 4380 Pages:89-112

• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

  Yan Xu & Chi-Wang Shu

  2010-07-01

  42128 4813 Pages:1-46 Open-access

• A Finite Element Method Solver for Time-Dependent and Stationary Schrödinger Equations with a Generic Potential

  A. Soba

  2009-05-01

  40114 3996 Pages:914-927

• An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs

  Yifan Lin, Xiang Sun, Jie Nie, Yuanhong Chen, Zhen Gao

  2025-09-02

  11746 904 Pages:575-602

• Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

  Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou

  2021-10-26

  49794 3293 Pages:1474-1498

• A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations

  Liang Pan & Kun Xu

  2020-07-31

  38526 3047 Pages:985-1011

• Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

  Xiang Wang, Jichun Li, Zhiwei Fang

  2020-11-26

  46212 4214 Pages:211-236

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen & Jun Lu

  2019-02-25

  47337 5497 Pages:233-264

• An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity

  Qingguo Hong, Limin Ma, Daniel Fortino, Long-Qing Chen, Jinchao Xu

  2025-09-18

  4409 329 Pages:1498-1514

• High Performance Algorithms Based on a New Wavelet Expansion for Time Dependent Acoustic Obstacle Scattering

  L. Fatone, G. Rao, M. C. Recchioni & F. Zirilli

  2007-02-01

  37864 4066 Pages:1139-1173

• Deep Learning-Based Reduced-Order Methods for Fast Transient Dynamics

  Martina Cracco, Giovanni Stabile, Andrea Lario, Armin Sheidani, Martin Larcher, Folco Casadei, Georgios Valsamos, Gianluigi Rozza

  2026-01-03

  1892 137 Pages:635-660

• Quantum Annealing with Anneal Path Control: Application to 2-SAT Problems with Known Energy Landscapes

  Ting-Jui Hsu, Fengping Jin, Christian Seidel, Florian Neukart, Hans De Raedt & Kristel Michielsen

  2019-04-28

  47617 4973 Pages:928-946 Open-access

• Projected Finite Elements for Systems of Reaction-Diffusion Equations on Closed Evolving Spheroidal Surfaces

  Necibe Tuncer & Anotida Madzvamuse

  2018-04-09

  41065 3123 Pages:718-747

• Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

  Shuangzhang Tu, Gordon W. Skelton & Qing Pang

  2012-11-01

  38646 4041 Pages:1503-1524

• An Adaptive Grid Method for Singularly Perturbed Time-Dependent Convection-Diffusion Problems

  Yanping Chen & Li-Bin Liu

  2020-07-30

  42006 3457 Pages:1340-1358

• Reduced Basis Approaches in Time-Dependent Non-Coercive Settings for Modelling the Movement of Nuclear Reactor Control Rods

  Alberto Sartori, Antonio Cammi, Lelio Luzzi & Gianluigi Rozza

  2018-04-04

  42489 4575 Pages:23-59

• Efficient Grid Treatment of the Time Dependent Schrödinger Equation for Laser-Driven Molecular Dynamics

  Fang Li, Xiangying Hao, Xiaogang Li

  2013-05-05

  40782 4257 Pages:1389-1407

• Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow

  Xiaodong Feng, Li Zeng, Tao Zhou

  2022-08-11

  308875 3566 Pages:401-423

• Computational Study of Scission Neutrons in Low-Energy Fission: Stationary and Time-Dependent Approaches

  M. Rizea & N. Carjan

  2011-09-01

  38393 3881 Pages:917-936

• Simulation of Wave-Flow-Cavitation Interaction Using a Compressible Homogenous Flow Method

  J. G. Zheng, B. C. Khoo & Z. M. Hu

  2014-08-05

  40520 4194 Pages:328-354

• Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

  Jun Luo, Lijun Xuan & Kun Xu

  2013-09-05

  40614 4609 Pages:599-620

• Quasi-Optimized Overlapping Schwarz Waveform Relaxation Algorithm for PDEs with Time-Delay

  Shu-Lin Wu & Ting-Zhu Huang

  2013-09-05

  39543 4057 Pages:780-800

• Space-Time Discontinuous Galerkin Method for Maxwell's Equations

  Ziqing Xie, Bo Wang & Zhimin Zhang

  2013-10-05

  39430 3980 Pages:916-939

• A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

  Tobias Gebäck & Alexei Heintz

  2018-03-27

  40716 4125 Pages:487-505

• Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws

  Alexandre Birolleau, Gaël Poëtte & Didier Lucor

  2014-07-06

  42059 5435 Pages:1-34

• Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

  Minghua Chen & Weihua Deng

  2014-08-03

  42270 4269 Pages:516-540